Answer:
Step-by-step explanation:
1) First we need to find midpoint M of segment AB.
... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)
Then vector AB is B-A = (8-2, 4-0) = (6, 4)
and vector PM is P-M = (3-5, 5-2) = (-2, 3)
The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.
The product of these slopes is -1, indicating these vectors are perpendicular.
2) Vector PA is P-A = (3-2, 5-0) = (1, 5).
Vector PB is P-B = (3-8, 5-4) = (-5, 1).
The lengths of both of these vectors are √(1²+5²) = √26.
Answer:
1,2 and 3 because this three are positive numbers and when added and multipled both gives the same answer 6. 1,2 and 3 are the positive integers and the result of their addition and their multiplication is same .
Step-by-step explanation:
From the information given;
1 bag of concrete = 1000 in^3
2 bags at home = 1000*2 = 2000 in^3
The available space has a volume of;
Volume = (5*12)*10*10 (Note: 1 ft = 12 inches)
Volume = 60*10*10 = 6000 in^3
The remaining volume = Available space - occupied space = 6000 - 2000 = 4000 in^2
1 bag = 1000 in^3
x bags = 4000 in^2
Then,
x = 1*4000/1000 = 4 bags.
This means 4 more bags of concrete will be required to fully fill the space.
Your question was incomplete. Please refer the content below:
Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.
X Y
10 30
13 39
14 42
21 63
The constant of proportionality is 3 as for 1 student she buys 3 snacks.
The constant of proportionality means the ratio between the terms x and y.
It is calculated by dividing y by x.
Here we get that:
X Y constant of proportionality(Y/X)
10 30 3
13 39 3
14 42 3
21 63 3
Therefore, we get the constant of proportionality as 3.
Learn more about constant of proportionality here:
brainly.com/question/1835116
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